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Which of the following describes a valid method for calculating the surface area of a triangular prism?(1 point)

Responses

Decompose the triangular prism into two triangles and three rectangles. Find the sum of the area of all five shapes.
Decompose the triangular prism into two triangles and three rectangles. Find the sum of the area of all five shapes.

Decompose the triangular prism into three triangles and two rectangles. Find the sum of three times the area of one triangle and twice the area of one rectangle.
Decompose the triangular prism into three triangles and two rectangles. Find the sum of three times the area of one triangle and twice the area of one rectangle.

Decompose the triangular prism into three triangles and two rectangles. Find the sum of the area of all five shapes.
Decompose the triangular prism into three triangles and two rectangles. Find the sum of the area of all five shapes.

Decompose the triangular prism into two triangles and three rectangles. Find the sum of the area of one triangle and three times the area of one rectangle.
Decompose the triangular prism into two triangles and three rectangles. Find the sum of the area of one triangle and three times the area of one rectangle.

1 answer

To calculate the surface area of a triangular prism, you generally decompose it into two triangular bases and three rectangular lateral faces.

The correct method for calculating the surface area of a triangular prism among the provided options is:

Decompose the triangular prism into two triangles and three rectangles. Find the sum of the area of all five shapes.

This accurately describes the process: you calculate the area of the two triangular bases and the three rectangular sides and then sum those areas together to find the total surface area of the prism.

The other options incorrectly describe the decomposition or the areas to be summed, leading to incorrect methods for calculating the surface area.